Decimal Odds To American
- American to Decimal. Positive Odds (“+”): Divide the moneyline by 100 and add 1. Decimal = (moneyline/100) +1. Examples: +100: (100/100) + 1 = 1 + 1 = 2.00. +235: (235/100) + 1 = 2.35 + 1 = 3.35. Negative Odds (“-“): Divide 100 by the moneyline, then add this value to 1.00.
- Moneyline odds will suffice, as this is the primary format used by the limited number of gambling sites available for US residents. Likewise, if you live in the United Kingdom, then you only really need to know how fractional odds work. If you live in Europe, then the decimal format is the one that will be most important for you to understand.
- How To Convert Decimal Odds To American Odds
- Decimal Odds To American Formula
- American Odds Converter
- Decimal Odds To American
Instantly convert betting odds in any format. Supports decimals, fractions, American odds. The tool will also tell you how likely the event is to occur to help you know what your chances of winning are. Plus when you're away from a computer or mobile, learn how to manually convert the odds.
The simplest sports betting math many punters possess is the ability to convert odds and calculate break even percentages, also known as implied probabilities. After spending years doing these calculations, first on a windows calculator, and later in an excel spread sheet, I finally developed the Online Gambling odds converter you’ll find below.
Odds Converter Tool
[oddscalc]
How To Convert Decimal Odds To American Odds
In case you’re not familiar with the difference between American Odds called moneylines and European odds, which are in decimal format, here is how each works.
American Odds
Also known as moneylines, are offered as either a positive or negative number. When positive, the moneyline represents how much profit a punter stands to make on a $100 stake. To give an example, a line of +125 represents risk $100 to win $125 profit. Negative moneylines represent how much a punter needs to stake for a winning bet to profit $100. A moneyline of -235 is risk $235 to win $100 profit.
European Odds
Also known as decimal odds, represent how much a winning ticket is worth for each dollar staked. For example if a punter wagers $10.00 at odds 1.95 and wins, their payout is $10 x 1.95 = $19.50. A major difference between American and European odds is that while the American version is based on profit, the European version is based on return. Likewise, a $10 wager on odds 1.95 translates to risk $10.00 to potentially profit $9.50. Considering 1.95 pays less than even money, it would be expressed in American odds format as a negative moneyline.
The best way to convert American odds to European format, and vice versa, is to use the “odds converter” located above. For those of you interested in the math, I’ll cover it great detail later in this article. First let me discuss break even percentage and implied probability.
Implied Probability
Is how often a bet must win for it to have neutral value. To give the simplest example, take American odds +100 (which is the equivalent of 2.00 in European odds) where winning bets are paid even money, here the implied probability is 50%. This is because in American format risk $100 to win $100, and in European format stake $1 to return $2, you’ll need to win an average of 50% of the time to break even over the long haul.
Where our odds converter comes in handy is let’s say you’ve done an analysis on a game between the Boston Red Sox and Tampa Bay Rays and determined the Red Sox should be 57% favorites in this game. After price shopping, the best odds you can find on the Red Sox are -128, which in European format is 1.781. There are now two ways you can determine if you’ve found a good bet. The first method is to plug 57% into our odds converter under the required break even field. Doing this you’ll find at 57% the true odds in American format are -132.6 (1.754 European). Consider you’re getting better than this with the -128 (1.781 European) you have a profitable bet.
The second way you could approach the above problem, is to plug -128 into our odds converted under American odds. Here you’ll see the required break even rate (implied probability) is 56.14%. Considering your calculation of a 57% win probability comes out higher than the win rate needed to break even, you’ve find yourself a good bet.
Sports Betting Strategy You Should, but Most Don’t, Understand
For those with basic sports betting math skills, the sample problem I’m about to give will be easy to solve. If you’re stumped, or answer incorrectly, what you’re about to read could very well be what gets you on the path required to winning consistently at sports betting.
The sample
Every online betting site with odds on a NBA basketball game between the Orlando Magic and Sacramento Kings has the odds listed in American format as Magic -545 / Kings +445.
Decimal Odds To American Formula
Someone comes long and says “I’ll offer you either Magic -490 or Kings +490, your choice”. Which of these options, if any, has the highest expected value?
The way many sports bettors would approach this is to average out 545 and 445 and figure the fair value is about -495 / +495. Using this failed logic they’d end up taking the Magic -490 as that’s better than the fair price and must be +EV. The problem is neither American nor European odds work this way; they can’t be averaged out to calculate the fair value.
The first step those who understand sports betting math take to solve this problem is the conversion of Magic -545 / Kings +445 to break even percentages.
After plugging the odds into our odds converted I find:
- Magic -545 = 84.50% required break even percentage
- Kings +445 = 18.35% required break even percentage.
- Adding these together you’ll find they total 102.85%. They total more than 100% because juice, which is how the bookmakers profit, is included in the -545/+445 lines. To remove juice we divide each by 102.85%.
- Magic -545 = 84.50%/102.85% = 82.16%
- Kings +445 = 18.35%/102.85% = 17.84%
To check double check our math 82.16 + 17.84% = 100%. We’ve successfully removed the juice and now have each team’s no-vig win probability.
Next go back to our odds converter and plug in the no vig win probabilities into the field titled “required break even %. Doing this we see:
- Magic at 82.16% = -460.5 in American odds format.
- Kings at 17.84% = +460.5 in American odds format.
The offer we were given was Magic -490 or Kings +490 and we calculated the fair prices with no vig are Magic -460.5 and Kings +460.5. The obvious best bet from +EV/-EV standpoint here is Kings +460.5.
The beautiful thing about sports betting, there are dozens of sites each with unique lines on the same game. If you’re able to gauge the consensus line by looking at what the discount bookmakers and exchanges such as Pinnacle, 5Dimes, and Betfair are offering, when you spot a line that is off at a recreational betting site such as Sportsbook.com, Bodog, or Intertops, you’ll have no problem calculating which side if any is a profitable long term bet. The ability to do this alone, combined with bonuses and promotions is enough for the average sports bettor to make some serious extra coin each season. With that said, be sure to bookmark this page so you have quick access to our odds converter as it’s a tool serious sports bettors will want to use often.
Math to Convert Betting Odds
To conclude this article I’ll share the math involved in converting odds and break even percentages. Remember our odds converter can do this math for you at the click of a button.
Converting American odds to European Odds
The formula to convert American moneylines to European decimals odds depends if the moneyline is expressed using a positive or negative number.
Positive Numbers
To convert a positive moneyline to European decimal odds take the moneyline, divide it by 100 and then add 1. The formula is (Moneyline/100) +1. To give an example, the math to convert +358 is (358/100) +1 which calculates to European odds of 4.580.
Negative Numbers
To convert a negative moneyline to European decimal odds take 100 divide it by the moneyline (without using the negative sign) and then add one. The formula is (100/Moneyline) + 1. To give an example, the math to convert -115 is (100/115) +1 which calculates to European odds of 1.870.
Converting European Odds to American Odds
The formula to convert European odds (decimals) to American moneyline format depends if the odds are 2.00+, or 1.999 or less.
Odds $2.00+
To convert European decimal odds 2.00 or greater to an American moneyline the math is: 100*(Decimal odds -1). For example, odds 2.183 use the formula 100*(2.183-1) which calculates to an American moneyline of +118.3.
Odds Under $2.00
To convert European decimal odds less than 2.000 to an American moneyline the math is (-100)/(Decimal odds – 1). For example, odds 1.71 uses the formula -100/(1.71 -1) which calculates to an American moneyline of -140.8.
Calculating Break Even Percentage
When dealing with European decimal odds, calculating how often a bets must win to break even is simple division. The formula is (1/odds=%). To use decimals odds 2.15 as an example, the math is 1/2.15 which equals 0.4651; converted to a percentage this is 46.51%. That’s how often a bet at 2.15 must win to have neutral value and is referred to as its break even rate or implied probability.
When dealing with American odds the formula to calculate a bets required break even rate (implied probability) is risk/return=implied probability, where return is how much a winning ticket would pay. For example at -215 a sports bettor wagers $215 to win $100, a winning bet returns $315 (the $215 stake and $100 win). In this case the math to calculate implied probability is 215/315 which equals 0.6825 and as an implied probability is 68.25%.
Converting Win Probabilities to Fair Odds
In cases where you know a team is going to win a certain percentage of the time and you’re looking to convert this percentage into fair European decimal odds or an American moneyline, this can be done with simple math. First change your percentage to a decimal (example 50.5% is 0.505) then use the formula (1/probability=European Odds). In the case of 50.5% the math is 1/.505 which equals European decimal odds of 1.98. To convert this to American odds go back to our formula (-100)/(Decimal odds – 1) which calculates to a moneyline of -102. As a reminder, in cases where the decimal odds are 2.0 or greater the moneyline will come out a positive number and therefore the conversion formula is 100*(Decimal odds -1) instead of the (-100)/(Decimal odds – 1) used in this example.
Best Online Betting Odds
Now that you understand how to calculate odds, you’ll likely appreciate how impressive the odds offered at www.5dimes.eu are. While no doubt the most popular reduced juice option for American players, 5Dimes also offers soccer, cricket, Euro hockey, Rugby League, Rugby Union, Aussie Rules, volleyball, motor racing, golf, tennis, snooker, water polo and darts at better odds than High Street bookmakers and TAB. To learn more read our 5Dimes Review.
Of course, the best advice we can give you at Online Gambling is to keep learning sports betting math, while using dozens of accounts to shop lines. We hope you enjoyed this article on converting odds, and wish you the best of luck this sports betting season.
The odds converter tool in this page will convert odds from any of the three main formats into the other formats.
It will also calculate the relevant implied probability too.
To use it, simply enter the odds you wish to convert in the appropriate box, and then click the “Convert Odds” button. It’s as easy as that!
If you came to this page specifically looking for a tool to
convert odds, then it’s likely that you already have a
fundamental understanding of what odds are and how they work in
relation to sports betting. If this is a subject that you’re not
particularly familiar with, however, then you might want to read
the following article from our beginner’s guide to sports
betting.
Odds Conversion Math
Overview of Different Odds Formats
If you live in the United States, then simply knowing the
moneyline odds will suffice, as this is the primary format used
by the limited number of gambling sites available for US
residents. Likewise, if you live in the United Kingdom, then you
only really need to know how fractional odds work. If you live
in Europe, then the decimal format is the one that will be most
important for you to understand.
With all that being said, it’s still a good idea to be
familiarized with how each format works. Many online betting
sites will allow you to choose the format that their odds are
displayed in. Please keep in mind that the conversation may
round in their favor.. For example, most US friendly sites offer
moneyline odds of -110 when betting points spreads. If you
choose to bet in the decimal format instead, then you’ll often
be given odds of 1.90. The true conversion is 1.9091 though, so
you’ll potentially lose a small percentage of your winnings if
you bet based on their conversion.
Therefore, it can be an advantage to use the primary format
offered by an online bookmaker, which is why it pays to make
sure you understand each of the different formats. We’ve
explained them all below for you.
American Odds/Moneyline Odds
Odds in this format are expressed as either a positive number
or a negative number. When they are a positive number, the
number represents how much in winnings is paid per $100 staked.
The following examples illustrate how positive moneyline odds
work.
When they are a negative number, the number represents the
amount of money that needs to be staked in order to win $100.
The following examples illustrate how negative moneyline odds
work.
Please see our article on calculating payouts from moneyline
odds for details on how to work out the potential winnings from
wagers using this format.
Decimal Odds
This is the most popular odds format outside of the United
States and is sometimes referred to as European odds. It’s a
very simple format where the odds are expressed as a single
positive number, usually to two decimal places. This number
states how much a winning bet returns (including the initial
stake) for each unit wagered. The following examples illustrate
the decimal format in practice.
Our article explaining how to calculate payouts from decimal
odds will teach you how to work out the potential returns from
wagers placed using this format.
Fractional Odds
Fractional odds are mostly used in the UK, but lately the
decimal format has been becoming more popular. Odds in this
format are displayed as a fraction, as the name suggests. The
first number of the fraction shows how much you can win per the
second number staked. This sounds more complicated that it
actually is and the easiest way to understand this format is
simply to look at some examples.
Please note that when the second number of the fraction is
higher than the first, it means the odds are less than even
money. This is referred to as odds on (as opposed to odds
against), and is the equivalent of when moneyline odds are a
negative number or when decimal odds are a number less than 2.
Odds Conversion Math
Our conversion tool is the easiest way to change odds between
formats but there will be times when you don’t have access to
it. When you’re at a Las Vegas sportsbook or a high street
bookmaker, you may need to be able to do these conversions in
your head. For this reason, we’ll run through the math required
to convert each format into all of the other formats.
Converting Moneyline Odds
To Decimal
The calculations required to convert from moneyline odds
changes depending on whether the odds are positive or negative.
To convert positive odds into decimal odds, the following
calculation is required.
Example: Converting +175
(+175 + 100) / 100 = 2.75
For negative odds, we ignore the minus symbol and use the
following formula.
Example: Converting -110
(110 + 100) / 110 = 1.909
To Fractional
When converting from the moneyline format into the fractional
format, the calculations again depend on whether the odds are
positive or negative. To convert positive odds, you simply
create a fraction by putting the relevant number over 100 and
then simplifying the fraction if possible.
300/100 is simplified to 3/1
To convert negative odds, you create a fraction by putting
100 over the relevant number (ignoring the negative sign).
Again, you then need to simplify the fraction if possible.
100/110 is simplified to 10/11
Converting Decimal Odds
To Moneyline
The method required to convert the decimal format over to the
moneyline format is dependent on whether the odds are greater
than 2.0 or not. We’ll look at how to convert odds of 2.0 or
less first. To start with, you have to carry out the following
calculation.
After doing this calculation, the odds are rounded and a
negative sign must be added.
100 / (1.95 – 1) = 105.25
To convert odds of greater than 2.00, you must start with the
following calculation.
To convert odds of greater than 2.00, you must start with the following calculation.
You then add a positive sign to the result, as shown in this
example.
(2.45 – 1) x 100 = 145
Positive sign added = +145
To Fractional
The first step in converting from decimal to fractional
format is to create a fraction by using the formula.
This will often create a fraction that includes a decimal,
which isn’t a proper fraction. To overcome this, the next step
is to multiply both sides of the fraction by 100. Finally, the
fraction needs to be simplified. The following example
illustrates this better than any written explanation can.
(1.45 – 1) / 1 = 0.45/1
Multiply both sides by 100 = 45/100
Simplified = 9/20
Converting Fractional Odds
Before we get into the math involved here, you need to
understand the terms numerator and denominator. In this context,
the numerator is the first number in the fraction and the
denominator is the second number in the fraction. With odds of
2/1, for example, 2 is the numerator and 1 is the denominator.
To Moneyline
There are two methods needed for converting from the
fractional to the moneyline format. The first is for when the
numerator is greater than the denominator. The following formula
needs to be used in the beginning.
A positive sign then needs to be added to create the
moneyline odds, as per the following example.
(6 / 4) x 100 = 150
Positive sign added = +150
The second method is for when the denominator is larger than
the numerator. In these cases, the following formula needs to be
used.
A positive sign then needs to be added to create the correct
moneyline odds. This is illustrated in the following example.
100 / (2 / 5) = 250
Negative sign added = -250
To Decimal
Converting odds from the fractional format to the decimal
format is relatively simple and it requires just the following
formula.
(11 / 10) + 1 = 1.10
Implied Probability Explained
Implied probability in relation to sports betting is
basically the implication of the odds as it relates to the
chances of an outcome happening. We’ll cover this in more detail
shortly, but first let’s look at how to calculate it. It’s
easiest to determine implied probability from odds in the
decimal format, using the following simple formula.
What this example shows us is that the implied probability of
2.50 odds is 0.40 (or 40% if expressed as a percentage). This
means that odds of 2.50 on any possible outcome imply that the
chance of that outcome happening is roughly 40%. So if, for
example, a tennis player is at 2.50 to win an upcoming match,
the implication is that he has a 40% chance of actually winning
that match.
American Odds Converter
You can read more about implied probability in this article on probability in sports betting. The article also
covers expected value, which is a related topic that you should definitely learn about if you want to be a
successful bettor.
Understanding Vig
When looking at the odds set by bookmakers, it’s important to
recognize that implied probability is rarely an entirely
accurate reflection of the real chances of a wager winning. This
is because bookmakers always try to set the odds at levels that
are lower than they actually should be in relation to real
probability. If their view was that a soccer team had a 60%
chance of winning a match, for example, they wouldn’t offer odds
that exactly reflected that chance. Their odds would be lower,
as this is how they make money successfully.
By reducing the odds relative to the probability of an
outcome happening, bookmakers effectively charge a commission
for every wager they take. This commission is known as vig,
which is short for vigorish. It can also be referred to as the
overround or juice. It’s similar in some respects to the house
edge in casino games and it’s basically what gives the
bookmakers an advantage over their customers.
Decimal Odds To American
What sets the bookmakers’ advantage apart from the casinos’
advantage is that, unlike the house edge, it can be overcome. In
order to overcome it, though, you first need to understand
exactly how vig works and the effect it has in sports betting.
You should visit our page on the subject of how bookmakers make
money, as this is all about the methods that bookmakers use to
ensure they are profitable. Charging vig is one of these methods
that we explain thoroughly.